Answer:
No, because it doesn't satisfy the equation of the circumference
Step-by-step explanation:
A circle is the locus of points on the plane that are equidistant from a fixed point called the center. For a circle whose center is the point
[tex]C=(a,b)[/tex]
and its radius is [tex]r[/tex], the ordinary equation of this circle is given by:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Since the circle is centered at the origin:
[tex]C=(a,b)=(0,0)\\\\Hence\\\\(x-0)^2+(y-0)^2=r^2\\\\x^2+y^2=r^2[/tex]
Now, let's find [tex]r[/tex] using the data provided. Evaluating the point (0,-4) into the equation:
[tex](0)^2+(-4)^2=r^2\\\\16=r^2\\\\r=\pm 4[/tex]
Thus the equation for the circle given by the problem is:
[tex]x^2+y^2=16[/tex]
In order to corroborate if the the point (2 3, 2) lie on the circle, we need to evaluate it into the equation and check if it satisfy the equation:
Note: I don't know what you mean with 2 3, so I will assume 3 cases:
[tex]2\hspace{3} 3=23\\2\hspace{3} 3=2*3=6\\2\hspace{3} 3=\frac{2}{3}[/tex]
First case:
[tex](23)^2+(2)^2=16\\\\533\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Second case:
[tex](6)^2+(2)^2=16\\\\40\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Third case:
[tex](\frac{2}{3} )^2+(2)^2=16\\\\\frac{40}{9} \neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Final answer:
The point (3, 2) does not lie on the circle centered at the origin with a radius of 4 units because when its coordinates are plugged into the circle's equation x² + y² = 16, the result is not equal to the radius squared.
Explanation:
To determine if the point (3, 2) lies on the circle centered at the origin that contains the point (0, -4), we need to see if it satisfies the equation of the circle.
We know the radius of the circle is the distance from the center to the point (0, -4), which is 4 units since all points on a circle are equidistant from the center.
The general equation for a circle centered at the origin (0,0) is x² + y² = r², where r is the radius.
Our circle's equation is x² + y² = 16.
We plug in the coordinates of the point (3, 2) to see if it lies on the circle: 3² + 2² = 9 + 4 = 13, which is not equal to 16. Therefore, the point (3, 2) does not lie on the given circle.
Write the first four terms in the multiplication pattern given by the formula:
10 · 5n
Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69
Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how old are Ryan and Brandon? (Please show work)
Ryan ________
Brandon ________
Answer:
Brandon is 13 and Ryan is 6 and 1/2
Step-by-step explanation
how can you use place -value blocks and a hundred chart to show the number that is ten more than 43? what is the number
The number that is ten more than 43 is 53
Represent the number with x.
A number x that is 10 more than 43 is then calculated using the following equation
x - 43 = 10
Add 43 to both sides of the equation
x - 43 + 43 = 10 + 43
Evaluate the sums
x = 53
Hence, the number that is ten more than 43 is 53
See attachment for the place value blocks
Read more about place values at:
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To find the number ten more than 43, use place-value blocks by adding a tens block to the existing four tens and three ones blocks to get 53. On a hundred chart, locate the number 43 and move one row down to arrive at 53, which is ten more than 43.
Explanation:The question asks how to use place-value blocks and a hundred chart to show the number that is ten more than 43. To illustrate this using place-value blocks, you would start with 4 tens blocks and 3 ones blocks to represent the number 43. Then, you would add one more tens block to represent the addition of ten. After adding this block, you would have a total of 5 tens blocks and 3 ones blocks, which represents the number 53.
On a hundred chart, first find the number 43. Then, since each row on a hundred chart represents ten numbers, you would move one row down to find the number that is ten more than 43. This would take you to the number 53, which is directly below 43 on the chart.
Therefore, the number that is ten more than 43 is 53.
The mean is always one of the data values
The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean? A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.
a golf pro shop sells two types of shirts, the first for 100$ each and the other for 60$ each. last month the shop sold 50 of these shirts for a total of 4600$ how many 100$ shirts did they sell?
Which expression is equivalent to:
25a + 5b - 13
Answer:
The correct option is 4.
Step-by-step explanation:
The given expression is
[tex]25a+5b-13[/tex]
In option (1), the given expression is
[tex]20a+5a+b-13[/tex]
Combine like terms.
[tex]25a+b-13[/tex]
This expression is not equivalent to the given expression.
In option (2), the given expression is
[tex]20(5a+5b)-13[/tex]
Using distributive property.
[tex]100a+100b-13[/tex]
This expression is not equivalent to the given expression.
In option (3), the given expression is
[tex]30ab-13[/tex]
This expression is not equivalent to the given expression.
In option (4), the given expression is
[tex]5(5a+b)-13[/tex]
Using distributive property.
[tex]25a+5b-13[/tex]
This expression is equivalent to the given expression.
Therefore correct option is 4.
For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget
given abcd ac = 22 and ae= 2x-5 find the value of x
The answer to this question is x=8... APEX
If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?
Which polynomial represents the difference below? 7x8 + 8x6 - 2x + 9 - (4x8 + 3x7 + 3)
Consider the difference of polynomials [tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3).[/tex]
The first thing you have to do is take that "minus" sign through the parentheses containing the second polynomial (just change sign + to - and sign - to +):
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=7x^8+8x^6-2x+9-4x^8-3x^7-3.[/tex]
Then combine terms with the same degree:
[tex]7x^8+8x^6-2x+9-4x^8-3x^7-3=(7x^8-4x^8)-3x^7+8x^6-2x+(9-3).[/tex]
Note that
[tex]7x^8-4x^8=(7-4)x^8=3x^8,\\ \\9-3=6.[/tex]
Thus,
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=3x^8-3x^7+8x^6-2x+6.[/tex]
Using an algebraic rule, describe a translation 2 units to the left.
In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.
Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks
You are due a $750 paycheck at the end of the week (Friday), but want to get your hands on the cash on Monday. A payday lender offers to make this deal with you for a fee of 2% of the paycheck. What is the rate you are paying for this service? Assume a 365-day year.
Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards
Answer:
$55
Step-by-step explanation:
Put 8 where n is in the equation and do the arithmetic.
cost = $6.50·n + 3
= $6.50·8 + 3 = $52 + 3
cost = $55
I need help!!! Pleasssse!!!!
The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal
What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in?
The area of the triangle is half the product of its base and height. The area of the triangle is 137.25 in².
What is the area of the triangle?The area of the triangle is half the product of its base and height. It is given by the formula,
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
As it is given that the base of the triangle is 15¹/₄ inches, while the height of the triangle is 18 inches. Therefore, the area of the triangle is,
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
[tex]= \dfrac{1}{2} \times 15(1/4)\times 18\\\\\\ = \dfrac{1}{2} \times \dfrac{(15\times 4)+1}{4} \times 18\\\\\\= \dfrac{1}{2} \times \dfrac{61}{4} \times 18\\\\\\=137.25\rm\ in^2[/tex]
Hence, the area of the triangle is 137.25 in².
Learn more about the Area of the triangle:
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gloria went to the mall and spent 50 minutes shopping. then she. had lunch for 30 minutes. if gloria arrived at the mall at 11:00 a.m at what time did she finished lunch?
Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?
Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32
here goes another question lol oops
which of these equations represents functions? check all that apply
In the following function defined by an equation in the form y=ax^2+bx+c, identify the values of a, b, and c. y=-2x^2
a) A=-2, b=0, c=0
b) a=-2, b=-2, c=-2
c) a=0, b=-2, c=0
d) a=0,b=0, c=-2
In the quadratic function y = -2x^2, the values of the coefficients a, b, and c are -2, 0, and 0, respectively.
Explanation:In the quadratic equation y = ax^2 + bx + c, the coefficients a, b, and c represent specific values that dictate the curve's shape and position. Given the equation y = -2x^2, we can compare it to the standard form to determine its coefficients. It is evident that a is -2, b is 0 since there is no x-term, and c is also 0 because there is no constant term. Therefore, the correct answer is a=-2, b=0, c=0, which corresponds to option a.
Which question is statistical?
How old is my grandmother?
What is the average age of my friends?
What are the ages of my friends' grandparents?
Where did you celebrate your last birthday?
Answer:
The answer is actually What are the ages of my friends grandparents. Trust me i took the test on k12.
Step-by-step explanation
Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?
Jane goes to the fruit market every week. On Monday she buys 10 pears and 11 oranges for $10.05 By Friday she is out of fruit and goes back to the market to purchase 1 pear and one orange for $0.94 How much did Jane spend on 1 orange?
find × if m<1=2×+10 and m<2=3×-6
Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?
Which of the following is parallel to the line =6x + 1